There will not be an autopsy for most hospital covid death because the "cause of death" is known prior to the death. However, there will likely be a few people who have donated their bodies for medical research and can be studied when this disease calms down.
Truthfully, from where I sit, Trump has been listening to good advisors. The hydroxychlororquine with a z-pack or another antibiotics seems to be working very well at my hospital to keep patients from needing a ventilator. Easter just past and this weekend, the patients on my unit have changed from people who were very sick with Covid to people who had medical conditions that needed treatment AND they also had Covid. Most wouldn't have been admitted only for a Covid positive test. The stats show a downtrend in new cases...and even deaths are starting to go down (faster than expected in my area). We are starting to go back to "normal"...very gradually. The ICUs will take a bit longer because they still are taking care of a lot of very sick people...many who will die yet.